Permanently in food shop by around end of April (9)
I believe the answer is:
indelibly
'permanently' is the definition.
(I've seen this before)
'in food shop by around end of april' is the wordplay.
'food shop' becomes 'deli' (short for delicatessen).
'around' indicates putting letters inside.
'end of' indicates one should take the final letters.
The final letter of 'april' is 'l'.
'by' going around 'l' is 'bly'.
'in'+'deli'+'bly'='INDELIBLY'
(Other definitions for indelibly that I've seen before include "Ineradicably" , "permanently" .)